Despite heading to Myanmar high on confidence, Home were dominated by their hosts for large portions of the game, and had goalkeeper Lionel Lewis to thank for what ultimately proved to be a welcome point.
And while he believes the Protectors didn't deserve to lose on the night, Home coach Lee Lim-saeng has called for improvement in next week's return encounter.
"I don't think our team deserved to lose to Yangon United tonight [Tuesday] because while they enjoyed more possession, we also managed to create chances as well but we just couldn't score any goals," the South Korean coach said on the AFC's official website.
"It was not the result that we hoped for but we will play against them again next week and I hope that we can produce a better performance in Singapore and get a result there."
Yangon remain bottom of the group but coach Eric Williams is optimistic his team can still qualify for the knockout stage.
"We showed today [Tuesday] that we can create opportunities and play football very well," Williams said.
"We will continue to battle and we will still try to qualify for the next round although we must perform better in our away games."
The draw in Yangon allowed Thai giants Chonburi to move three points clear of second-placed Home, after they beat Hong Kong's Citizen 2-0.
Veteran midfielder Therdsak Chaiman gave the hosts the lead from the spot four minutes after the break, before Fode Bangaly Diakite wrapped things up with a second on the hour mark.
In Group E, Al Zawra'a picked up their second win of the campaign with a 1-0 victory over Safa, with Khaldon Ibrahim scoring the only goal of the game five minutes from time.
But despite picking up the three points, Al Zawra'a coach Radhi Shnaishel admits the win had not come easy against their hardworking opponents.
"Despite the win, we need a lot of work and I'm glad that the win came at the right time to allow us to compete in the group," Shnaishel said.
"Safa played well and they were looking for a draw but eventually we got the three points. The match was hard as Safa produced a good performance as they have good players and their coach is experienced and he knows a lot about Iraqi football."
Group E's other game saw Al Shorta beat Al Tilal 3-0.
Al Suwaiq suffered their first loss in Group A after going down 2-0 to Al Ittihad, courtesy of goals from Fahad Al-Jalabubi and Waleed Abdallah, while Al Faisaly moved top after a hard-fought 2-1 win over Al Qadsia.
Finally in Group C, Al Kuwait cruised to a 4-0 away win over Al Ahed courtesy of first-half goals from Rogerinho and Husain Al-Shammari, followed by a Khudhair Abdulhadi brace after the break, while Al Ettifaq recorded a 6-3 victory at VB.
Tuesday's AFC Cup Results
Al Suwaiq 2-0 Al Ittihad
Al Qadsia 1-2 Al Faisaly
Al Ahed 0-4 Al Kuwait
VB 3-6 Al Ettifaq
Al Zawra'a 1-0 Safa
Al Shorta 3-0 Al Tilal
Chonburi 2-0 Citizen
Yangon United 0-0 Home United